solve by gauss seidal method  4x1-x2-x3=3    -2x1+6x2+x3=9   -x1+x2+7x3=-6

Q: Let H= Span{₁,₂,3} and K= Span {V₁ V2 V3}, where each vector is defined below. Find bases for H, K,…

A: Follow the steps.

Q: By using Value of fixed point approach solve the A = √2 + √2 + √2+...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q4. Consider the topological space (X,T), where X = {a, b, c, d) and T = {o, X, {a}, {b}, {c},…

A: Given: Q4. a)  X, T is a topological space, where X=a, b, c, d and T=∅, X, a, b, c, {a, b}, {a, c},…

Q: Let f: R" x R → R define as follows f(x,y) = a, then f is

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Q: 4. If fige Lim. 1/2 show that fy & LUTY.

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Q: Determine the distance y measured from the x axis to the centroid of the area of the triangle shown…

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Q: 3 16 If 7 is an 7(2)= [ Rational irrational About Then entir what 1

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Q: Compute the derivative of the vector-valued function: r(t) = x²+4 In+i+ sin ² tj + (t² + 1)²k x-5

A: We have to compute the derivative of the given vector-valued function rt

Q: A vlogger receives a notification each day of how many views their vlog received that day. This…

A: Please see the attachment

Q: 6) The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. Which…

A: Follow the steps/

Q: Jo (x)= TT 1 TT Ső 0 Ső cos (x sin ) dø cos (x cos ) dø

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Q: The power set P(ø) of the emptyset is the empty set Ø. True False

A: The power set of a set contains the elements: the set itself, all the subset(s), the empty set. For…

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Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: Given: Base of triangle =15in Side lengths x inches each Rate of change of sidesdxdt=4in/min=4in/min

Q: Let us define the sequence called a, so that a1=3 a2=5.   a_n = a_(n−1) + 2_(an−2) − 2. for each n…

A: We use Strong Induction to prove our claim.

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A: Given the function  y=sinx

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Q: SHOW that the topologies of the elkk е чак are Not Comparable.

A: We know that ,  ℝl is the lower limit topology generated by the basis βl consisting of all half open…

Q: 4. Integrate the function So³ x² e ²x both analytically and numerically. For the numerical…

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Q: A 25-year mortgage on a house requires payments of $915.60 at the end of each month. If the interest…

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Q: Romberg integration for approximating f f(x) dx gives R₂1 = then f(2)= -6 and R₂2 = 1

A: Given that Romberg integration for approximation ∫04fxdx gives R21=-6 and R22=1. We have to find the…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: 4x obtain the section of the equation Ex xl with the condition u oon X4

A: Let us consider the given PDE is P(x,y,u)ux+Q(x,y,u)uy=R(x,y,u) The equation is solved as Determine…

Q: 3 2z²+ +3x²-22x-61 - 12 2 र e da

A: Some of the properties of integration  ∫1xdx=lnx+C∫xndx=xn+1n+1+C∫af(x)+bg(x)dx=a∫f(x)dx+b∫g(x)dx

Q: Let (G1, ) and (G2, *) be two groups and : G1 G2 be an isomorphism. Then * O G2 might be abelian…

A: Let G1 , ∘  and G2 , * be two groups. Consider , ϕ : G1 → G2  be an isomorphism. We know that , ϕ is…

Q: Locate the centroid of the shaded area shown. 1m 1m y=x² X

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Q: (6) Find the integral of the function piecewise linear path from (1,1) to (2,2) to (0,2). b) 22.3…

A: Given the function Fx,y=ey-x,e2x

Q: A monoply box that has twice the the awichth me twice the length with a volume of 10000 cm³ Find the…

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Q: 1 Find the general solution to the following ODE using the method of undetermined coefficients…

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Q: 2. 0.X₂ Use the Jacobi method and Gauss-Seidel method to solve the following system until L²-norm of…

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Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-9. Partition [0,6] into three…

A: Given function is fx=x2−8x−9 and let c1=0.5, c2=2.8 and c3=5.3. We have to calculate the indicated…

Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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Q: During the Christmas holidays, a group of friends went out for dinner at a restaurant in Montego…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

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Q: Determine all the eigenvalues of the matrix G given below. Hence, obtain an eigenvector…

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Q: Solve the initial value problem y" - 4y' - 45y = 0, y(0) = : Find a so that the solution approaches…

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Q: Theorem Let f: G H be a group homomorphism. Then, Im fs H.

A: Let us consider the mapping f:G→H. Then f is group homomorphism if  f(x·y)=f(x)·f(y) , x,y∈G Image…

Q: The Bar graph below describes the scores of a group of students on a 10-point math quiz 10 9 1 Quiz…

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Q: Solve the linear programming Maximize: P = x + 2y-z Verify your Solution Start: X2424 11252 -1 -2…

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Q: If fel²() and gelices. prove that fgeles.

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Q: j Find the general solution of the following ODE by reduction of order. Given that y₁ = is a…

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Q: 4) Use Stokes theorem to evaluate SF.dr, where с F(x, y, z) = <.xy, yz, *x), where C is the triangle…

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Q: Find the unit tangent vector for the parameterized curve: r(t) = 2ti + 2cos tj - 2 sint k

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Q: If ~1,..., η € C, with n > 2, use induction to prove that TU Σ j=1 = n Σ j=1

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Q: d²y 2x(1-x)+(5-7x)-3y=0 dx dy dx

A: To obtain the power series solution of the second order differential equation, use the following…

Q: The number of air safety inspectors for selected years is shown in the table. Year 1996 1997 1998…

A: Here we use the slope intercept form of the linear function to answer the question as follows.

Q: Find the length of the following three-dimensional curve. r(t) = (2+5t,9-3t, -6+3t), for 1st≤4

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Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: It is a numerical analysis problem and let us solve it in the next steps using Euler's method.

Q: Use the method of variation of parameters to solve the initial value problem x'=Ax+ f(t), x(a) = x₂…

A: We have to find the solution x(t) using the method of variation of parameters.